基于回传波射矩阵法的空间杆系结构固有特性及结构阻尼影响分析  

Analysis of Inherent Characteristics of 3D Bar-System and Influence of Damping Based on the Method of Reverberation-Ray Matrix

作　　者：李克磊[1] 聂国华[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2014年第4期578-588,共11页Chinese Quarterly of Mechanics

基　　金：教育部"新世纪优秀人才支持计划"项目(NCET-04-0373)

摘　　要：基于三维杆系结构的回传波射矩阵理论分析了空间框架结构的固有特性.通过获得的确定结构固有频率的矩阵方程,针对一座二层含有完全铰接点和固定铰支座的空间杆系结构,利用频响函数曲线法和求根法两种方法计算了结构的固有频率,并给出了振型结果.与有限元分析软件ANSYS的计算结果比较,表明了本文模型的有效性和计算精度.同时,通过计算阐明了复刚度阻尼对结构共振频率的影响.结果表明,复刚度阻尼能引起结构共振频率的降低.Based on method of reverberation-ray matrix for 3D bar-system, analysis of inherent characteristics of 3D framed structures was performed in this paper. Using the resulting equation in the form of matrix for evaluation on natural frequencies, both methods of frequency response function curve and root-finding were applied to computation of the natural frequencies of a two-story space framed structure containing completely hinged joint as well as fixed hinged support. The modes of vibration were also presented graphically. Comparison of the present results with that from ANSYS code shows the validity and accurateness of the present model. Meanwhile, the effect of influence of complex stiffness damping on the structural resonant frequencies is illustrated. The results show that complex stiffness damping can cause a decrease in the resonant frequency for the structures.

关 键 词：空间杆系结构 回传波射矩阵法 固有频率 振型 复刚度阻尼 共振频率 

分 类 号：O342[理学—固体力学]